solve the following equation 4y 6 14 solve for y
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HESI A2

HESI A2 Quizlet Math

1. What is the solution to the equation 4y - 6 = 14? Solve for y.

Correct answer: B

Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.

2. Compare: 0.045 is _____ to 0.054.

Correct answer: B

Rationale: The correct answer is B. When comparing 0.045 and 0.054, 0.045 is less than 0.054. Therefore, the correct relation is 'Less than.' Choice A ('Greater than') is incorrect because 0.045 is not greater than 0.054. Choice C ('Less than or equal to') is incorrect because 0.045 is strictly less than 0.054, not less than or equal to. Choice D ('Equal') is incorrect because 0.045 and 0.054 are not equal.

3. What is 60% of 150?

Correct answer: B

Rationale: To find 60% of 150, you multiply 0.6 by 150, which equals 90. Therefore, the correct answer is 90. Choice A (80) is incorrect because it does not represent 60% of 150. Choice C (120) is incorrect as it exceeds 100% of 150. Choice D (80) is a duplicate of choice A and does not accurately represent 60% of 150.

4. Change the following percentage to a decimal: 58%

Correct answer: A

Rationale: To convert a percentage to a decimal, move the decimal point two places to the left. Therefore, 58% as a decimal is 0.58. Choice B, 5, is incorrect as it does not represent the conversion of a percentage to a decimal. Choices C and D, both 0, are also incorrect as they do not reflect the correct conversion of 58% to a decimal.

5. A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60 bushels per acre, what profit is expected if the price per bushel is $5.67?

Correct answer: A

Rationale: To calculate the profit, first find the total revenue: 240 acres × 60 bushels/acre × $5.67/bushel = $81,648. Then, calculate the total cost: 240 acres × $188.99/acre = $45,357.60. Finally, subtract the cost from the revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40. Choice B, $45,357.60, is the total cost, not the profit. Choice C, $81,648, is the total revenue, not the profit. Choice D, $44,000, is an arbitrary figure and not related to the calculations provided. Thus, the correct answer is $36,290.40.

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